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Finding the Fourth Proportional to 6,662.73, 9,193.53 and 3,830.22

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Solution

The fourth proportional to 6,662.73, 9,193.53 and 3,830.22 is: 5,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.73 : 9,193.53 = 3,830.22 : x
  2. Step 2: Convert to fraction form
    6,662.73/9,193.53 = 3,830.22/x
  3. Step 3: Cross multiply
    6,662.73x = 9,193.53 × 3,830.22
  4. Step 4: Simplify right side
    6,662.73x = 35,213,242.48
  5. Step 5: Solve for x
    x = 35,213,242.48/6,662.73
  6. Step 6: Final answer
    x = 5,285.11

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.